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Arc Length and Sector Area

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Presentation on theme: "Arc Length and Sector Area"— Presentation transcript:

1 Arc Length and Sector Area

2 Warm-Up Complete # 5, 8, 13, 14 on worksheet!

3 Notecard Warm Up – To be Turned In
Write your name on the notecard On the provided notecard, write the formula for the area of the following: Rectangle Triangle Square Trapezoid Parallelogram Regular Polygon Rhombus Kite

4 Homework Check 172.8in in m2 m m cm2 in = cm2 9. <1=120, <2=60, <3=30 10. <4=90, <5=45, <6=45 11. <7=60, <8=30, <9=60 12. <1=36, <2=18, <3=72

5 Extra Practice 200cm2 2. 525in2 3. 432m2 4. 33.8cm2 5. 216in2 6. 116
11. 80in in2 cm2

6 Quiz

7 Today’s Objective Students will be able to calculate the length of an arc and the area of a sector.

8 7-6 Arc Length Review: The Circumference is the distance around a circle. C=2πr or C=πd Definition: The Arc Length is the distance around an arc (a fraction of the circumference) Arc length is DIFFERENT from Arc Measure****

9 Arc Length: is a fraction of a circle’s circumference (in terms of pi) Arc Measure: is equal to the central angle (in terms of degrees)

10 Example Find the LENGTH of arc AB

11 Ex 2: Find the length of arc ADB

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14 7-7 Sector Area Review: The Area of a circle is π*r2
Definition: A Sector is a region bounded by an arc and two radii

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18 Is a part of a circle bounded by an arc and the segment joining its endpoints

19 Area of a Segment

20 Ex 1: Find the area of the segment:

21 Ex 2:

22 Challenge: Find the area of the shaded region
12cm

23 Challenge Find the area of the green figure.

24 Classwork/Homework Worksheet Review for Test


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